Symbolize these using propositional logic! The statements indicated by the all-caps sentences are the following.

J = Johnson is guilty.

W = Wilson will get the death penalty.

L = Lewis will confess.

T = Johnson pulled the trigger.

S= Johnson is of questionable mental stability.

1. LEWIS will confess or WILSON will get the death penalty, but not both.

2. LEWIS will confess, unless Johnson pulled the TRIGGER and JOHNSON is guilty.

3. Assuming that JOHNSON is not guilty, WILSON will get the death penalty if and only if LEWIS does not confess.

4. If Johnson pulled the TRIGGER, JOHNSON is guilty or he is of questionable mental STABILITY.

5. WILSON will get the death penalty or he will not get the death penalty.

6. Johnson is of questionable mental STABILITY just in case JOHNSON is not guilty.

7. It is not the case that LEWIS will confess.

8. Neither did Johnson pull the TRIGGER nor is JOHNSON guilty.

9. It is not the case that both LEWIS will confess and WILSON will get the death penalty.

10. Johnson pulled the TRIGGER, if and only if, JOHNSON is guilty and Johnson is of questionable mental STABILITY.